Spectral representation of infimum of bounded quantum observables
نویسندگان
چکیده
Let H be a complex Hilbert space, S(H) be the set of all bounded linear selfadjoint operators on H , S(H) be the set of all positive operators in S(H), P (H) be the set of all projections on H . Each element in P (H) is said to be a quantum event, each element in S(H) is said to be a bounded quantum observable on H . For A ∈ S(H), P denote the spectral measure of A. Let R be the set of real numbers, B(R) be the set of all Borel subsets of R. This project is supported by Natural Science Found of China (10771191 and 10471124). E-mail: [email protected]
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